I'd say your chances are better than 50/50. Caps are used to regulate voltage dips and the like Before the major component that needs it. If the capacitor fails, its possible that everything after it is fine... since the capacitor is essentially an open circuit after it "pops". But don't take my word for it! (Reading Rainbox? )

They hold and store a charge and release it to the component as needed - electronics are extremely sensitive to variations or absence of the required current even for a fraction fo a second - the caps provides it as needed - you know how sometimes you get those mini power failures for a fraction of a second or a very short power dip and your PC is still working as if nothing happened ? Well this is where your CAPS come into play - fake caps / going bad / changes its specs and can cause problems - stability, rebooting, blackouts, you won't get away with failing caps for a long time they are there for a reason! and knocking on wood I have never had a bad cap - I've run older motherboards for over 7 years in a row 24/7 nonstop and not a single bad cap - nowadays I am shocked to see crappy components used even in the msot expensive gear, I'd go as far as saying it's criminal and companies should be held liable ! The last place you want bad caps is on a motherboard and graphics card ! :)